GCF Calculator

What is GCF?

The Greatest Common Factor (GCF), also known as the Greatest Common Divisor (GCD), is the largest positive integer that divides two or more numbers without leaving a remainder. It's a fundamental concept in number theory and is used in simplifying fractions and solving various mathematical problems.

This calculator finds the GCF of multiple numbers using the Euclidean algorithm, which is an efficient method for computing the greatest common divisor.

How to Find GCF

The calculator uses the Euclidean algorithm:

1. Start with two numbers
2. Divide the larger by the smaller
3. Replace the larger number with the smaller
4. Replace the smaller number with the remainder
5. Repeat until the remainder is 0
6. The last non-zero remainder is the GCF

Example

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